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Finding the Fourth Proportional to 7,294.04, 10,064.16 and 4,307.84

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Solution

The fourth proportional to 7,294.04, 10,064.16 and 4,307.84 is: 5,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.04 : 10,064.16 = 4,307.84 : x
  2. Step 2: Convert to fraction form
    7,294.04/10,064.16 = 4,307.84/x
  3. Step 3: Cross multiply
    7,294.04x = 10,064.16 × 4,307.84
  4. Step 4: Simplify right side
    7,294.04x = 43,354,791.01
  5. Step 5: Solve for x
    x = 43,354,791.01/7,294.04
  6. Step 6: Final answer
    x = 5,943.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.